# Search by Topic

#### Resources tagged with Euler's formula similar to Euler's Formula and Topology:

Filter by: Content type:
Stage:
Challenge level:

### There are 4 results

Broad Topics > Decision Mathematics and Combinatorics > Euler's formula

### Euler's Formula and Topology

##### Stage: 5

Here is a proof of Euler's formula in the plane and on a sphere together with projects to explore cases of the formula for a polygon with holes, for the torus and other solids with holes and the. . . .

### Impossible Polyhedra

##### Stage: 5

Is it possible to make an irregular polyhedron using only polygons of, say, six, seven and eight sides? The answer (rather surprisingly) is 'no', but how do we prove a statement like this?

### Painting by Numbers

##### Stage: 5 Challenge Level:

How many different colours of paint would be needed to paint these pictures by numbers?

### Euler's Formula

##### Stage: 5

Some simple ideas about graph theory with a discussion of a proof of Euler's formula relating the numbers of vertces, edges and faces of a graph.